West Brom will take on Palace at The Hawthorns in the Premier League on Saturday evening.
Former Liverpool defender Lawrenson has backed the Baggies to pick up all three points from the encounter courtesy of a 2-1 victory.
“Palace have been struggling for points and goals in the league but they got a good win over Tottenham in the FA Cup and the return of Yannick Bolasie from injury was a big boost,” the former Republic of Ireland told BBC Sport.
“West Brom were knocked out by Reading but I am backing them to bounce back for a couple of reasons.
“Baggies boss Tony Pulis is great when he has his back against the wall - he will want to shut up some of his own team's fans who have been criticising him, and he is up against his old club Palace so he will have a point to prove against them too.”
West Brom will head into the game against Palace on the back of a 3-1 defeat to Reading away from home in the fifth round of the FA Cup.
The Baggies, though, won their last league match, getting the better of Everton 1-0 at Goodison Park.
Tony Pulis’s side are not in good form at the moment, but this is the sort of game that the West Brom boss is capable of winning.
Palace will head into the match against West Brom on the back of a 1-0 victory over Tottenham Hotspur away from home at White Hart Lane in the fifth round of the FA Cup.